作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
months respectively from the date of the agreement. With each payment, Louise
" u& ]3 D/ b& e# M1 i* `2 O3 O1 ^agreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
failed to make the first payment and now wishes to settle her obligations with a
single payment four months from now. What payment should Thelma be willing to
" L2 P; S) D" Xaccept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
/ @/ r9 b  C4 O# |! ~                Month 0        Mon. 8                  Mon. 12
' r6 }1 {% m: S; Q$ bCash Principal        X        -750                  -950       
Cash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
. p) P; k! X1 j+ {( }$ ?) [& m* oPV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
- [3 ^$ x, e; T
& D" }, u4 e2 J9 ]9 }4 I  m* qthese 3 should add up to 0, i.e. NPV at month 0 is 0.
8 f0 v) {8 \2 A* @; n0 \; w, y# ]                                       
  [  ^+ f7 H% @! A% M% `Conclusion        X        =        1729.8               
& c8 d) p) X0 B" H                                       
+ T  @. p3 k2 u7 J3 jSo, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860

littledognancy

Finance 学得不好所以不知道做得对不对。。。看着办吧~ 也许有用。

linchan

对了，答案是$1856.32